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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2002 / Cilt: 31 - Sayı:

Geometrical structure of dual designs

Hülya BAYRAK
Soner GÖNEN
Sayfa
53–56
Yayın Tarihi
2022-10-18
DOI
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Furthermore, an attempt is made to give relations between the parameters of balanced and unbalanced incomplete block designs, and properties of finite projective geometries and related geometries.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The purpose of this study is to discuss some dual designs of balanced incomplete block designs and of partially balanced incomplete block designs.
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Temel Bulgular & Veri:The purpose of this study is to discuss some dual designs of balanced incomplete block designs and of partially balanced incomplete block designs.
💡
Sonuç & Katkı:Furthermore, an attempt is made to give relations between the parameters of balanced and unbalanced incomplete block designs, and properties of finite projective geometries and related geometries.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

The purpose of this study is to discuss some dual designs of balanced incomplete block designs and of partially balanced incomplete block designs. Furthermore, an attempt is made to give relations between the parameters of balanced and unbalanced incomplete block designs, and properties of finite projective geometries and related geometries.

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Bu Makaleye Atıf Yap

BAYRAK, H., GÖNEN, S. (2022). Geometrical structure of dual designs. Hacettepe Journal of Mathematics and Statistics, Cilt: 31 - Sayı:, 53–56. https://ajindex.com/articles/530837

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Kaynakça (11)

  1. Bayrak, H. and Gonen, S. Geometrical approach to balanced incomplete block designs, Commun. Fac. Sci. Univ. Ank. Series A1 44, 41-48, 1995
  2. Bayrak, H. ve Gönen, S. Dikdörtgensel latisler üzerine bir çalışma, İstatistik Sempozyumu 2000, Gazi Üniversitesi, İIstatistik Bölümü, Ankara
  3. Bose, R. C. On the construction of balanced incomplete block designs, Annals of Eugenics 9, 353-399, 1939
  4. Bose, R. C. Strongly regular graphs, partial geometries and partially balanced designs, Pacific J. Math. 13, 389-419, 1963
  5. Bose, R. C. and Nair K. R. Partially balanced incomplete block designs, Sankhya 4, 337-373, 1939
  6. Bose, R. C. and Shimamoto, T. Classification and analysis of partially bal anced incomplete block designs with two associate classes, J. Amer. Stat. Assn. 47, 151-184, 1952
  7. Bruck, R. H. Finite nets II. Uniqueness and imbedding, Pacific J. Math. 13, 421-457, 1963
  8. Raghavarao, D. Constructions and combinatorial problems in design of ex periments, Dover Publications, Inc., New York, 1971
  9. Shrikhande, S. S. On the dual of some balanced incomplete block designs, Biometrics 8, 66-72, 1952
  10. Shrikhande, S. S. and Bhagwandas, Duals of incomplete block designs, J. Indian Stat. Assn. 3, 30-37, 1965
  11. Street, A.P. and Street, D. J., Combinatorics of experimental design, Clarendon Press. Oxford, 1987.